6x^2=32x+24 Need help learning factoring please put work so I can understand

2 • (x - 6) • (3x + 2)

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "x2" was replaced by "x^2".

STEP 1 : Equation at the end of step 1

((2•3x2) - 32x) - 24

STEP 2 : Pulling out like terms

Pull out like factors :

6x2 - 32x - 24 = 2 • (3x2 - 16x - 12)

Trying to factor by splitting the middle term

Factoring 3x2 - 16x - 12

The first term is, 3x2 its coefficient is 3 .

The middle term is, -16x its coefficient is -16 .

The last term, "the constant", is -12

Step-1 : Multiply the coefficient of the first term by the constant 3 • -12 = -36

Step-2 : Find two factors of -36 whose sum equals the coefficient of the middle term, which is -16 .

-36 + 1 = -35

-18 + 2 = -16 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -18 and 2

3x2 - 18x + 2x - 12

Step-4 : Add up the first 2 terms, pulling out like factors :

3x • (x-6)

Add up the last 2 terms, pulling out common factors :

2 • (x-6)

Step-5 : Add up the four terms of step 4 :

(3x+2) • (x-6)

Which is the desired factorization

Final result : 2 • (x - 6) • (3x + 2)

Hope this helps~

Smoll mochi

answer: 1 and 3

step-by-step explanation: